Academic Content Standards
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits
1.C.1: Identify and justify whether properties (closure, identity, inverse, commutative and associative) hold for a given set and operations; e.g., even integers and multiplication.
1.E.2: Compare, order and determine equivalent forms for rational and irrational numbers.
Comparing and Ordering Decimals
Part-to-part and Part-to-whole Ratios
Rational Numbers, Opposites, and Absolute Values
Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots
1.I.5: Estimate the solutions for problem situations involving square and cube roots.
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
2.D.1: Convert rates within the same measurement system; e.g., miles per hour to feet per second; kilometers per hour to meters per second.
2.D.3: Use the ratio of lengths in similar two-dimensional figures or three-dimensional objects to calculate the ratio of their areas or volumes respectively.
Perimeters and Areas of Similar Figures
2.D.5: Solve problems involving unit conversion for situations involving distances, areas, volumes and rates within the same measurement system.
Constructing Congruent Segments and Angles
Perimeters and Areas of Similar Figures
Similar Figures
Similarity in Right Triangles
Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
Triangle Angle Sum
Dilations
Rotations, Reflections, and Translations
Translations
4.A.2: Generalize patterns using functions or relationships (linear, quadratic and exponential), and freely translate among tabular, graphical and symbolic representations.
Absolute Value Equations and Inequalities
Arithmetic Sequences
Arithmetic and Geometric Sequences
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Geometric Sequences
Introduction to Functions
Linear Functions
Points, Lines, and Equations
4.B.1: Define function with ordered pairs in which each domain element is assigned exactly one range element.
4.B.3: Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations.
Exponential Functions
Introduction to Exponential Functions
Simple and Compound Interest
4.C.2: Generalize patterns using functions or relationships (linear, quadratic and exponential), and freely translate among tabular, graphical and symbolic representations.
Absolute Value Equations and Inequalities
Arithmetic Sequences
Arithmetic and Geometric Sequences
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Geometric Sequences
Introduction to Functions
Linear Functions
Points, Lines, and Equations
4.D.7: Use formulas to solve problems involving exponential growth and decay.
4.D.11: Add, subtract, multiply and divide monomials and polynomials (division of polynomials by monomials only).
Addition and Subtraction of Functions
Addition of Polynomials
Dividing Polynomials Using Synthetic Division
Modeling the Factorization of x2+bx+c
4.E.4: Demonstrate the relationship among zeros of a function, roots of equations, and solutions of equations graphically and in words.
Circles
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
Solving Equations on the Number Line
4.E.5: Describe and compare characteristics of the following families of functions: linear, quadratic and exponential functions; e.g., general shape, number of roots, domain, range, rate of change, maximum or minimum.
Addition and Subtraction of Functions
Exponential Functions
Function Machines 3 (Functions and Problem Solving)
Graphs of Polynomial Functions
Introduction to Exponential Functions
Linear Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Slope-Intercept Form of a Line
Translating and Scaling Functions
4.F.8: Find linear equations that represent lines that pass through a given set of ordered pairs, and find linear equations that represent lines parallel or perpendicular to a given line through a specific point.
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
4.G.10: Solve quadratic equations with real roots by factoring, graphing, using the quadratic formula and with technology.
Modeling the Factorization of x2+bx+c
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
4.H.9: Solve and interpret the meaning of 2 by 2 systems of linear equations graphically, by substitution and by elimination, with and without technology.
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
4.I.13: Model and solve problems involving direct and inverse variation using proportional reasoning.
4.I.14: Describe the relationship between slope and the graph of a direct variation and inverse variation.
5.A.2: Create a scatterplot for a set of bivariate data, sketch the line of best fit, and interpret the slope of the line of best fit.
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
5.A.3: Analyze and interpret frequency distributions based on spread, symmetry, skewness, clusters and outliers.
Describing Data Using Statistics
Polling: City
Real-Time Histogram
Describing Data Using Statistics
Mean, Median, and Mode
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Stem-and-Leaf Plots
Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots
5.F.6: Make inferences about relationships in bivariate data, and recognize the difference between evidence of relationship (correlation) and causation.
5.G.5: Describe characteristics and limitations of sampling methods, and analyze the effects of random versus biased sampling; e.g., determine and justify whether the sample is likely to be representative of the population.
Polling: City
Polling: Neighborhood
5.H.7: Use counting techniques and the Fundamental Counting principle to determine the total number of possible outcomes for mathematical situations.
5.I.8: Describe, create and analyze a sample space and use it to calculate probability.
Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
5.J.9: Identify situations involving independent and dependent events, and explain differences between, and common misconceptions about probabilities associated with those events.
Independent and Dependent Events
5.K.10: Use theoretical and experimental probability, including simulations or random numbers, to estimate probabilities and to solve problems dealing with uncertainty; e.g., compound events, independent events, simple dependent events.
Independent and Dependent Events
Correlation last revised: 8/29/2016